MATH 112 A & B

Calculus II

(Allen Mann)

Homework

Try each problem, then check the solution manual that is on reserve at Cooley Science Library. Come to office hours with your remaining questions. For each assignment, if you haven't learned the material after doing the assigned problems, it is your responsibility to do more of the problems until you can do them even when you are nervous.

Date Section Topic Assignment Relevant Not Relevant
1/21 Ch. 3 Review 1-9, 17, 20-23, 37
1/23 5.5 The Substitution Rule 4-6, 24-26, 33, 37, 39, 44-46, 55-69 odd, 74, 80, 83
1/25 1.6 Inverse Trig Functions 59-64, 66-68 59-68 1-58, 69-73
1/28 3.5 Inverse Trig Derivatives 45, 47, 49, 48, 57 45-58 1-44, 59-69
5.5 The Substitution Rule 28, 36, 42, 68 1-46, 51-70 47-50, 71-72
1/30 6.2 Volumes (disks/washers) 1-19 odd, 20, 28, 30, 33-35, 41, 43, 63 1-36, 41-44 37-40
2/1 6.3 Volumes (shells) 1, 2, 3, 5, 7, 8, 10, 12, 14, 15, 17, 21, 23, 25, 29, 31 1-26, 29-32 27, 28, 33-36
2/4 6.3 Choosing which method to use 37-42, 44, 46 37-46
2/6 6.2 Volumes with arbitrary shape 49-53, 60, 61, 65 49-67 45-48
2/8 Keep practicing volumes
2/11 Review for Exam 1
2/13 6.4 Work 1, 4, 13, 16, 21-24, 29 1-6, 13-24, 26-30 7-12, 25
2/15 7.1 Integration by Parts 5, 7, 9, 14, 17, 22, 26, 34 1-15, 17-20, 22-38, 39-42 16, 21
2/18 7.1 Integration by Parts 47, 49, 51, 58, 63, 65 43-54, 57-60, 63-66 55, 56, 61
2/20 7.2 Trigonometric Integrals 1-11 odd, 12 1-14, 21-34 51-54, 55, 57-60
2/22 7.2 Trigonometric Integrals 15, 17, 21, 23, 31, 45, 49, 56, 63 15-50, 56, 61-70 51-55, 57-60
2/25 7.4 Partial Fractions 8-16 even, 40, 51 1-36, 39-52, 55, 56, 62-65 53, 54, 57-61, 67-70
2/27 7.4 Partial Fractions 29, 32, 52, 55, 56, 62, 64
2/29 7.6 Tables of Integrals 1, 6, 7, 11, 16, 17, 19, 25, 28 1-11, 13-30 12, 31-48
3/3 7.5 Strategy for Integration 4, 9, 11, 17, 18, 19, 25, 47, 57, 58, 70, 79 1-52, 54-81 53
3/5 8.1 Arc Length 8, 10, 13, 14, 17, 37, 39 1-13, 15-20, 35-39 14, 21-34, 40-42
3/7 7.7 Numerical Integration 2, 13, 21, 31, 33, 42, 44 1, 2, 5-22, 29-39, 41-48 3, 4, 23-28, 40
Note that if you make a table of (x, f(x)) pairs for an integrand, then you can compute most approximations using the numbers in the table so you don't have to recompute the function values.
3/10 Review for Exam 2
3/12 4.4 L'Hospital's Rule 2, 7, 8, 10, 12, 13, 14, 17, 18, 26, 27, 31, 32, 46 1-22, 24-64, 69-73,75-77 23, 65-68, 74, 78-84
3/14 4.4 L'Hospital's Rule 47, 51, 53, 58, 59, 73, 75
Spring Break!
3/24 7.8 Improper Integrals 5, 6, 9, 10, 12, 13, 19, 20, 25 5-26, 49-52, 61 4, 43-48, 69-75, 80
3/26 7.8 Improper Integrals 32, 35, 36, 37, 55, 59, 68 27-42, 53-60, 62, 63, 66
3/28 7.8 Improper Integrals 50, 52, 54, 67 49-52, 67, 76-79
3/31 10.1 Parametric Equations 1, 3, 7, 9, 13, 15, 24 1-16, 19-29, 31, 33, 37-44 17, 18, 30, 32, 34-36, 45-50
4/2 10.2 Parametric Equations w/ Calculus 5, 6, 7, 11, 16, 18, 20, 25, 30, 36a, 36b, 43, 44, 52 1-20, 25-36a, 36b, 37-44, 48-54, 67*, 69-74* 9-10, 21-24, 36c, 45-47, 55-66, 68
4/4 10.3 Polar Coordinates 2b, 4b, 11, 18, 26, 27, 31, 35, 46, 58, 59, 63, 66 1-70 71-84
4/7 10.4 Polar Coordinates w/ Calculus 1, 5, 9, 20, 27, 31, 44, 47 1-36, 44-52 37-43, 53-56
4/14 Review for Exam 3
4/16 11.2 Series 2, 12, 16, 17, 19, 22, 28, 29, 35, 47, 50, 51, 55, 57, 66 (Challenge: 63, 64, 72, 73, 76) 1, 2, 10-40, 47-52, 55-61 3-9, 41-46, 53, 54, 62
4/18 11.6 Ratio Test 5, 8, 25, 30, 31. Change the instructions for 2-28 to be "Determine whether the series converges, diverges or is indeterminant using the ratio test." Disregard the solutions manual for this section. all except the not applicable 11, 12, 15, 16, 17, 19-24, 35-40
4/21 11.8 Power Series 3, 7, 10, 17, 23, 30. Change the instructions on problems 3-28 to be "Find the radius of convergence of the series." 1-7, 9-12, 14-18, 20-25, 27-33, 35a, 36a, 37, 38, 40 8, 13, 19, 26, 34, 35bc, 36bc, 39, 41, 42
4/23 11.9 Representations of Functions as Power Series 5, 8, 11, 13, 23, 24, 32. When finding the interval of convergence, do not detrmine whether the endpoints converge or diverge. 1-18, 23-26, 32-35a, 36-40 19-22, 27-31, 35b
4/25 11.10 Taylor and Maclaurin Series 6, 8, 9, 13, 15, 18, 29, 37, 47, 57, 59, 63 1-22, 29-38, 47-50, 55-69 23-28, 39-46, 51-54, 70-72
4/28 11.3 Integral Test 6, 7, 11, 16-18, 21, 24, 27 1-30 31-42
4/30 11.4 Comparison Tests 5, 9, 37 1-32, 37 33-36
11.5 Alternating Series 2, 4, 6, 11, 31 1ab, 2-20 1c, 21-30, 32-36
5/2 11.8 Radius of Convergence 3, 7, 10, 17, 23. Return to these problems to find the interval of convergence INCLUDING whether the endpoints converge or diverge. 1-7, 9-12, 14-18, 20-25, 27-28.

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